To solve the inequality 1/4x - 3/4 > 51/4, we need to isolate the variable x.
First, we can simplify both sides of the inequality by multiplying through by 4 to eliminate the fractions:
4(1/4x - 3/4) > 4(51/4)
1x - 3 > 51
Next, we can add 3 to both sides of the equation:
x > 51 + 3
x > 54
So the solution to the inequality is x > 54.
Solve 1/4x−3/4>51/4 .
5 answers
Hessa solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
Without knowing the options provided, it is not possible to determine which inequality Hessa solved. Please provide the options to further assist you.
Hessa solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
Responses
1/5x−3/5≤2/5
Start Fraction 1 over 5 end fraction x minus Start Fraction 3 over 5 end fraction less than or equal to Start Fraction 2 over 5 end fraction
2/5x−4/5≥1/1/5
Start Fraction 2 over 5 end fraction x minus Start Fraction 4 over 5 end fraction greater than or equal to 1 Start Fraction 1 over 5 end fraction
3/5x+2/5≥3/2/5
Start Fraction 3 over 5 end fraction x plus Start Fraction 2 over 5 end fraction greater than or equal to 3 Start Fraction 2 over 5 end fraction
3/7x+1/7≤1/6/7
(1 point)
Responses
1/5x−3/5≤2/5
Start Fraction 1 over 5 end fraction x minus Start Fraction 3 over 5 end fraction less than or equal to Start Fraction 2 over 5 end fraction
2/5x−4/5≥1/1/5
Start Fraction 2 over 5 end fraction x minus Start Fraction 4 over 5 end fraction greater than or equal to 1 Start Fraction 1 over 5 end fraction
3/5x+2/5≥3/2/5
Start Fraction 3 over 5 end fraction x plus Start Fraction 2 over 5 end fraction greater than or equal to 3 Start Fraction 2 over 5 end fraction
3/7x+1/7≤1/6/7
Hessa solved the inequality: 1/5x - 3/5 ≤ 2/5